# Help me to envision a man falling towards a black hole with all of the time dilation involved

I'm standing at a safe distance from a black hole and I'm in an Earthlike time frame of reference. Through my telescope I see a man starts to fall towards the black hole. I have looked at this question but it doesn't quite get to what I'm looking for.

I watch him accelerate towards the black hole until I know that he is getting close to $$c$$. But, the gravitational time dilation surrounding the black hole would be so great that I would actually see him slow down rather than speed up? And then just a short distance above the event horizon, gravitational time dilation would be so great that I would see him nearly stop, so that even the 14 billion year ago of the universe would not be long enough for him to actually reach the event horizon. Help me to understand this? How can he be falling at near $$c$$ at the same time that he is nearly stopped?

Of course, in his own frame, he just sees himself falling towards the black hole and never reaching it in the short time involved. He would be facing both kinetic and gravitational time dilation.

Help me to envision this from my frame.

• What do you mean by "never reaching it in the short time involved"? In his frame, he quickly crosses the horizon. Aug 18 '20 at 17:58
• Related, possible duplicate: physics.stackexchange.com/a/170506/123208 Aug 18 '20 at 18:01
• @PM2Ring Remember that my question is only about my frame. But yes, in his frame he quickly crosses the horizon. Here's another conundrum for another day; if the universe ends before he reaches the horizon, would he actually cross it in his own frame? Aug 18 '20 at 18:02
• @PM2Ring I think the first graph you pointed at provides the answer. I would see him accelerate to .38c, and then rapidly slow to near 0 very close to the horizon. Aug 18 '20 at 18:10
• @foolishmuse Maybe also see here. Aug 18 '20 at 18:39